Student Type
Undergraduate
College Affiliation
College of Science, Technology, and Health
Department
Department of Mathematics
Submission Type
Poster
Abstract
Control theory is a branch of mathematics focused on observing or controlling a process governed by a dynamic equation. We use state-space notation to represent all meaningful information about our process. This means our processes are expressed in vector form. Typically, the state matrix is square. In this project, we consider a control system where the corresponding state is over-determined, meaning there are more rows than columns. In addition, our state equation is on a time scale T, which allows us to consider discrete, continuous, or hybrid measurements. Here, we offer two methods to solve the dynamic system. Finally, we offer numerical results to a corresponding electrical power system.
Recommended Citation
Castillo, Danian; Barnes, Drew; and Wintz, Nick, "Over-Determined Control Systems on Time Scales" (2023). 2023 Student Academic Showcase. 15.
https://digitalcommons.lindenwood.edu/src_2023/Posters/Session1/15
Included in
Over-Determined Control Systems on Time Scales
Control theory is a branch of mathematics focused on observing or controlling a process governed by a dynamic equation. We use state-space notation to represent all meaningful information about our process. This means our processes are expressed in vector form. Typically, the state matrix is square. In this project, we consider a control system where the corresponding state is over-determined, meaning there are more rows than columns. In addition, our state equation is on a time scale T, which allows us to consider discrete, continuous, or hybrid measurements. Here, we offer two methods to solve the dynamic system. Finally, we offer numerical results to a corresponding electrical power system.